Solver answer
A♥8♥ on A♦ 7♠ 5♦ K♠ K♣: call the river bet?
6-max cash, 100 big blinds · Cutoff opens, button calls · River A♦ 7♠ 5♦ K♠ K♣ · Cutoff bets 15.4 bb into 20.5 bb · Button to act
Updated
The solver's answer
Fold 66% Call 34%
A♥8♥ is a break-even bluff-catcher here, and the solver folds it most of the time.
The solver plays A♥8♥ along this line to this decision 2.04% of the time; otherwise it acts differently earlier in the hand.
A♦7♠5♦K♠K♣
A♥8♥ You
- Pot
- 20.5 bb
- Behind
- 90.5 bb
- Cutoff
- Bets 15.4 bb
In a 6-max cash game at 100 big blinds, after the button calls the cutoff's open and its 7 bb c-bet on an A♦ 7♠ 5♦ flop, both check the K♠ turn and the cutoff bets 15.4 bb into 20.5 bb on the K♣ river, the button folds A♥8♥ 66% of the time, calls 34% and moves all in 0.3%, according to a solver answer published free by Poker Skill.
Why A♥8♥ folds most of the time
- Calling 15.4 bb to win 35.9 bb needs 30.0% equity, and A♥8♥ has 31.6% against the cutoff's bet. The rake takes that small edge: calling is worth -0.02 bb, about the same as folding.
- Top pair with an eight kicker is a bluff-catcher on this board: it beats the cutoff's bluffs and loses to its value bets. The 8 also removes some of the cutoff's bluffs, which pushes the hand toward a fold.
- The kicker decides it: ace-ten suited calls 82% of the time and ace-nine suited 77%, while ace-jack suited folds 83%.
- A♥8♥ rarely gets here at all: before the flop the button calls with ace-eight suited only 4% of the time, and 3-bets or folds the rest.
Poker Skill's free app has Practice vs AI, where you play full heads-up hands against an AI opponent, with Coach Max grading each decision. Play a heads-up hand vs AI
The full strategy, hand by hand
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA Not in this range here | AKs Not in this range here | AQs C 100 % | AJs F 83 % | ATs C 82 % | A9s C 77 % | A8s F 67 % | A7s Not in this range here | A6s Not in this range here | A5s C 66 % | A4s F 100 % | A3s Not in this range here | A2s Not in this range here |
| K | AKo Not in this range here | KK Not in this range here | KQs C 100 % | KJs C 100 % | KTs C 100 % | K9s Not in this range here | K8s Not in this range here | K7s Not in this range here | K6s Not in this range here | K5s Not in this range here | K4s Not in this range here | K3s Not in this range here | K2s Not in this range here |
| Q | AQo C 66 % | KQo C 100 % | QQ Not in this range here | QJs F 100 % | QTs F 100 % | Q9s Not in this range here | Q8s Not in this range here | Q7s Not in this range here | Q6s Not in this range here | Q5s Not in this range here | Q4s Not in this range here | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo Not in this range here | KJo Not in this range here | QJo Not in this range here | JJ F 100 % | JTs F 100 % | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s Not in this range here | J5s Not in this range here | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo Not in this range here | KTo Not in this range here | QTo Not in this range here | JTo Not in this range here | TT F 99 % | T9s Not in this range here | T8s Not in this range here | T7s Not in this range here | T6s Not in this range here | T5s Not in this range here | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o Not in this range here | K9o Not in this range here | Q9o Not in this range here | J9o Not in this range here | T9o Not in this range here | 99 F 100 % | 98s Not in this range here | 97s Not in this range here | 96s Not in this range here | 95s Not in this range here | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o Not in this range here | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o Not in this range here | 98o Not in this range here | 88 F 100 % | 87s Not in this range here | 86s Not in this range here | 85s Not in this range here | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o Not in this range here | K7o Not in this range here | Q7o Not in this range here | J7o Not in this range here | T7o Not in this range here | 97o Not in this range here | 87o Not in this range here | 77 R 100 % | 76s Not in this range here | 75s Not in this range here | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o Not in this range here | K6o Not in this range here | Q6o Not in this range here | J6o Not in this range here | T6o Not in this range here | 96o Not in this range here | 86o Not in this range here | 76o Not in this range here | 66 F 100 % | 65s F 100 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o Not in this range here | K5o Not in this range here | Q5o Not in this range here | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o Not in this range here | 75o Not in this range here | 65o Not in this range here | 55 R 100 % | 54s F 100 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o Not in this range here | K4o Not in this range here | Q4o Not in this range here | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o Not in this range here | 54o Not in this range here | 44 F 100 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o Not in this range here | K3o Not in this range here | Q3o Not in this range here | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o Not in this range here | 43o Not in this range here | 33 Not in this range here | 32s Not in this range here |
| 2 | A2o Not in this range here | K2o Not in this range here | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 Not in this range here |
- Fold: 46.60% of the range (2.47 combos)
- Call (15.4 bb): 49.08% of the range (2.6 combos)
- All-in (90.5 bb): 4.32% of the range (0.23 combos)
Each cell is a hand class. Its letter is the action the class takes most (F fold, X check, C call, B bet, R raise) and its number is how often, in percent. In the labels, s means suited and o means offsuit.
| Hand class | Combos | Fold | Call (15.4 bb) | All-in (90.5 bb) |
|---|---|---|---|---|
| AQs | 0.219 | 0.0% | 100.0% | 0.0% |
| AJs | 0.389 | 82.5% | 2.3% | 15.2% |
| ATs | 1.007 | 17.6% | 82.2% | 0.3% |
| A9s | 0.175 | 21.9% | 77.3% | 0.9% |
| A8s | 0.041 | 67.0% | 32.7% | 0.3% |
| A5s | 0.125 | 13.2% | 66.0% | 20.8% |
| A4s | 0.061 | 99.7% | 0.2% | 0.1% |
| KQs | 0.433 | 0.0% | 99.9% | 0.1% |
| KJs | 0.239 | 0.0% | 100.0% | 0.0% |
| KTs | 0.194 | 0.0% | 100.0% | 0.0% |
| AQo | 0.678 | 34.3% | 65.7% | 0.0% |
| KQo | 0.001 | 0.0% | 100.0% | 0.0% |
| QJs | 0.003 | 100.0% | 0.0% | 0.0% |
| QTs | 0.025 | 100.0% | 0.0% | 0.0% |
| JJ | 0.104 | 99.8% | 0.1% | 0.0% |
| JTs | 0.094 | 100.0% | 0.0% | 0.0% |
| TT | 0.315 | 99.1% | 0.9% | 0.0% |
| 99 | 0.449 | 99.9% | 0.1% | 0.0% |
| 88 | 0.237 | 100.0% | 0.0% | 0.0% |
| 77 | 0.131 | 0.0% | 0.0% | 100.0% |
| 66 | 0.269 | 100.0% | 0.0% | 0.0% |
| 65s | 0.031 | 100.0% | 0.0% | 0.0% |
| 55 | 0.009 | 0.0% | 0.0% | 100.0% |
| 54s | 0.037 | 100.0% | 0.0% | 0.0% |
| 44 | 0.035 | 100.0% | 0.0% | 0.0% |
What each action is worth with A♥8♥
| Action | How often | Expected value |
|---|---|---|
| Fold | 65.64% | 0 bb |
| Call (15.4 bb) | 34.07% | -0.021 bb |
| All-in (90.5 bb) | 0.29% | -1.119 bb |
Ranges, pot and stacks
- The hand so far: 6-max cash, 100 big blinds · Cutoff opens to 2.5 bb, button calls · Flop A♦ 7♠ 5♦: cutoff bets 7 bb, button calls · Turn K♠: cutoff checks, button checks · River K♣: cutoff bets 15.4 bb into 20.5 bb · Button to act, 90.5 bb behind
- Pot at this decision, including the bets in front: 35.9 bb
- The button: 90.5 bb behind
- The cutoff: 75.1 bb behind, 15.4 bb in front
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA Not in this range here | AKs Not in this range here | AQs 7 % | AJs 13 % | ATs 34 % | A9s 6 % | A8s 1 % | A7s Not in this range here | A6s Not in this range here | A5s 4 % | A4s 2 % | A3s Not in this range here | A2s Not in this range here |
| K | AKo Not in this range here | KK Not in this range here | KQs 22 % | KJs 12 % | KTs 10 % | K9s Not in this range here | K8s Not in this range here | K7s Not in this range here | K6s Not in this range here | K5s Not in this range here | K4s Not in this range here | K3s Not in this range here | K2s Not in this range here |
| Q | AQo 8 % | KQo <1 % | QQ Not in this range here | QJs <1 % | QTs 1 % | Q9s Not in this range here | Q8s Not in this range here | Q7s Not in this range here | Q6s Not in this range here | Q5s Not in this range here | Q4s Not in this range here | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo Not in this range here | KJo Not in this range here | QJo Not in this range here | JJ 2 % | JTs 2 % | J9s Not in this range here | J8s Not in this range here | J7s Not in this range here | J6s Not in this range here | J5s Not in this range here | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo Not in this range here | KTo Not in this range here | QTo Not in this range here | JTo Not in this range here | TT 5 % | T9s Not in this range here | T8s Not in this range here | T7s Not in this range here | T6s Not in this range here | T5s Not in this range here | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o Not in this range here | K9o Not in this range here | Q9o Not in this range here | J9o Not in this range here | T9o Not in this range here | 99 8 % | 98s Not in this range here | 97s Not in this range here | 96s Not in this range here | 95s Not in this range here | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o Not in this range here | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o Not in this range here | 98o Not in this range here | 88 4 % | 87s Not in this range here | 86s Not in this range here | 85s Not in this range here | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o Not in this range here | K7o Not in this range here | Q7o Not in this range here | J7o Not in this range here | T7o Not in this range here | 97o Not in this range here | 87o Not in this range here | 77 4 % | 76s Not in this range here | 75s Not in this range here | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o Not in this range here | K6o Not in this range here | Q6o Not in this range here | J6o Not in this range here | T6o Not in this range here | 96o Not in this range here | 86o Not in this range here | 76o Not in this range here | 66 5 % | 65s 1 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o Not in this range here | K5o Not in this range here | Q5o Not in this range here | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o Not in this range here | 75o Not in this range here | 65o Not in this range here | 55 <1 % | 54s 1 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o Not in this range here | K4o Not in this range here | Q4o Not in this range here | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o Not in this range here | 54o Not in this range here | 44 1 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o Not in this range here | K3o Not in this range here | Q3o Not in this range here | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o Not in this range here | 43o Not in this range here | 33 Not in this range here | 32s Not in this range here |
| 2 | A2o Not in this range here | K2o Not in this range here | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 Not in this range here |
Each cell shows the share of the class's possible combos in the range.
| A | K | Q | J | T | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| A | AA Not in this range here | AKs Not in this range here | AQs 10 % | AJs 1 % | ATs Not in this range here | A9s Not in this range here | A8s Not in this range here | A7s Not in this range here | A6s Not in this range here | A5s Not in this range here | A4s Not in this range here | A3s Not in this range here | A2s Not in this range here |
| K | AKo 26 % | KK Not in this range here | KQs 13 % | KJs 12 % | KTs 15 % | K9s 5 % | K8s 33 % | K7s 3 % | K6s 11 % | K5s 16 % | K4s 9 % | K3s 7 % | K2s 32 % |
| Q | AQo 19 % | KQo 38 % | QQ Not in this range here | QJs <1 % | QTs 2 % | Q9s <1 % | Q8s 17 % | Q7s Not in this range here | Q6s 3 % | Q5s Not in this range here | Q4s Not in this range here | Q3s Not in this range here | Q2s Not in this range here |
| J | AJo <1 % | KJo 16 % | QJo 9 % | JJ Not in this range here | JTs <1 % | J9s Not in this range here | J8s <1 % | J7s 5 % | J6s Not in this range here | J5s Not in this range here | J4s Not in this range here | J3s Not in this range here | J2s Not in this range here |
| T | ATo Not in this range here | KTo 15 % | QTo <1 % | JTo <1 % | TT Not in this range here | T9s Not in this range here | T8s Not in this range here | T7s Not in this range here | T6s Not in this range here | T5s Not in this range here | T4s Not in this range here | T3s Not in this range here | T2s Not in this range here |
| 9 | A9o Not in this range here | K9o 12 % | Q9o Not in this range here | J9o Not in this range here | T9o Not in this range here | 99 Not in this range here | 98s 2 % | 97s Not in this range here | 96s Not in this range here | 95s Not in this range here | 94s Not in this range here | 93s Not in this range here | 92s Not in this range here |
| 8 | A8o Not in this range here | K8o Not in this range here | Q8o Not in this range here | J8o Not in this range here | T8o Not in this range here | 98o Not in this range here | 88 13 % | 87s Not in this range here | 86s Not in this range here | 85s Not in this range here | 84s Not in this range here | 83s Not in this range here | 82s Not in this range here |
| 7 | A7o Not in this range here | K7o Not in this range here | Q7o Not in this range here | J7o Not in this range here | T7o Not in this range here | 97o Not in this range here | 87o Not in this range here | 77 8 % | 76s <1 % | 75s Not in this range here | 74s Not in this range here | 73s Not in this range here | 72s Not in this range here |
| 6 | A6o Not in this range here | K6o Not in this range here | Q6o Not in this range here | J6o Not in this range here | T6o Not in this range here | 96o Not in this range here | 86o Not in this range here | 76o Not in this range here | 66 6 % | 65s 3 % | 64s Not in this range here | 63s Not in this range here | 62s Not in this range here |
| 5 | A5o Not in this range here | K5o Not in this range here | Q5o Not in this range here | J5o Not in this range here | T5o Not in this range here | 95o Not in this range here | 85o Not in this range here | 75o Not in this range here | 65o Not in this range here | 55 <1 % | 54s <1 % | 53s Not in this range here | 52s Not in this range here |
| 4 | A4o Not in this range here | K4o Not in this range here | Q4o Not in this range here | J4o Not in this range here | T4o Not in this range here | 94o Not in this range here | 84o Not in this range here | 74o Not in this range here | 64o Not in this range here | 54o Not in this range here | 44 24 % | 43s Not in this range here | 42s Not in this range here |
| 3 | A3o Not in this range here | K3o Not in this range here | Q3o Not in this range here | J3o Not in this range here | T3o Not in this range here | 93o Not in this range here | 83o Not in this range here | 73o Not in this range here | 63o Not in this range here | 53o Not in this range here | 43o Not in this range here | 33 <1 % | 32s Not in this range here |
| 2 | A2o Not in this range here | K2o Not in this range here | Q2o Not in this range here | J2o Not in this range here | T2o Not in this range here | 92o Not in this range here | 82o Not in this range here | 72o Not in this range here | 62o Not in this range here | 52o Not in this range here | 42o Not in this range here | 32o Not in this range here | 22 Not in this range here |
Each cell shows the share of the class's possible combos in the range.
Where the numbers come from
The numbers come from a commercial solver's precomputed solution for a 6-max cash game at 100 big blinds, with a 5% rake capped at 15 bb and 2.5 bb opens. It allows one bet size at each decision. Here the cutoff's flop c-bet is an overbet of 7 bb, the turn is checked through and the river bet is 15.4 bb into 20.5 bb; the button's only raise is all-in. In the solver's multi-size solution for this spot the cutoff almost never bets this flop, so this line is rare outside this solution. Two players see the flop. Pots with three or more players aren't covered, and neither are bet sizes outside this solution. Poker Skill read the numbers and wrote the explanation.
- Line to this decision
-
F-F-R2.5-C-F-F·flop R7-C, turn X-X, river R15.4 - Solver notation
-
Ad7s5dKsKc·Ah8h. F fold, X check, C call, R2.5 a bet or raise to 2.5 bb, RAI all-in.
Solution read Oct 2, 2026. Each hand-class row is the solver's own total for that class. Ranges are shown by class: how many combos of each class are in the range, and what share that is of the combos the board leaves possible.